Aurel Friedrich Wintner (8 April 1903 – 15 January 1958) was a

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

noted for his research in

mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (m ...

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...

differential equation In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...

s and

probability theory Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set ...

. He was one of the founders of

probabilistic number theory In mathematics, Probabilistic number theory is a subfield of number theory, which explicitly uses probability to answer questions about the integers and integer-valued functions. One basic idea underlying it is that different prime numbers are, in ...

. He received his Ph.D. from the

University of Leipzig Leipzig University (german: Universität Leipzig), in Leipzig in Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 Decemb ...

in 1928 under the guidance of

Leon Lichtenstein Leon Lichtenstein (16 May 1878 – 21 August 1933) was a Polish-German mathematician, who made contributions to the areas of differential equations, conformal mapping, and potential theory. He was also interested in theoretical physics, publish ...

. He taught at

Johns Hopkins University Johns Hopkins University (Johns Hopkins, Hopkins, or JHU) is a private research university in Baltimore, Maryland. Founded in 1876, Johns Hopkins is the oldest research university in the United States and in the western hemisphere. It consi ...

. He was a nephew of the astronomer

Samuel Oppenheim Samuel Oppenheim (19 November 1857 in Braunsberg – 15 August 1928 in Vienna) was an Austrian astronomer. In 1875 Oppenheim began to study mathematics, physics and astronomy in Vienna. He took his Staatsexamen in 1880. From 1881–1887 he worke ...

, and the son-in-law of mathematician

Otto Hölder Ludwig Otto Hölder (December 22, 1859 – August 29, 1937) was a German mathematician born in Stuttgart. Early life and education Hölder was the youngest of three sons of professor Otto Hölder (1811–1890), and a grandson of professor Chris ...

Works

*
Spektraltheorie der unendlichen Matrizen
', 1929 * ''The Analytical Foundations of Celestial Mechanics'', 1941 (reprinted in 2014 by Dover) *
Eratosthenian Averages
', 1943 *
The Theory of Measure in Arithmetical Semi-Groups
', 1944 *
An Arithmetical Approach to Ordinary Fourier Series
', 1945 *
The Fourier Transforms of Probability Distributions
', 1947

References

External links

* *
Spektraltheorie Der Unendlichen Matrizen
at the

Internet Archive The Internet Archive is an American digital library with the stated mission of "universal access to all knowledge". It provides free public access to collections of digitized materials, including websites, software applications/games, music, ...

1903 births 1958 deaths 20th-century Hungarian mathematicians Mathematicians from Budapest Leipzig University alumni Johns Hopkins University faculty {{Europe-mathematician-stub